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Dynamics of a Discretization Physiological Control System

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  • Xiaohua Ding
  • Huan Su

Abstract

We study the dynamics of solutions of discrete physiological control system obtained by Midpoint rule. It is shown that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases and we analyze the stability of the solution of the discrete system and calculate the direction of the Hopf bifurcations. The numerical results are presented.

Suggested Citation

  • Xiaohua Ding & Huan Su, 2007. "Dynamics of a Discretization Physiological Control System," Discrete Dynamics in Nature and Society, Hindawi, vol. 2007, pages 1-16, February.
    • Handle: RePEc:hin:jnddns:051406
    DOI: 10.1155/2007/51406
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    References listed on IDEAS

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    1. Bellen, Alfredo & Zennaro, Marino, 2003. "Numerical Methods for Delay Differential Equations," OUP Catalogue, Oxford University Press, number 9780198506546.
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